Practice30 Create account

2 men and 7 children finish a job in 4 days; 4 men and 4 children finish it in 3 days. How long would one man take alone?

Competition practiceTime & Work / Pipes

A12 days
B20 days
C60 days
D15 days

Step-by-Step Solution

2 m + 7 c = \frac{1}{4}, 4 m + 4 c = \frac{1}{3}

. Doubling the first and subtracting:

10 c = \frac{1}{6}, c = \frac{1}{60}

; then

4 m = \frac{16}{60}, m = \frac{1}{15}

.

Answer: D) 15 days

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Time & Work / Pipes practice questions

More Time & Work / Pipes practice

A contractor employs 30 workers to finish in 45 days. After 15 days only one-fourth is…20 men do 60% of a job in 12 days. How many more men are needed to finish the rest in 4…12 men or 15 women can finish a job in 14 days. How long will 7 men and 5 women take?4 men and 6 women finish a job in 8 days; 3 men and 7 women finish it in 10 days. How…10 workers build a 120 m wall in 12 days working 8 hours a day. How many hours a day…